/:16 Google's new Priority Inbox feature not only sorts your inbox, but it also figures out…
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The search, as web PR consultant Steve Rubel reveals, uses Gmail's now-reserved "priority" label to pull up your messages. Load up mobile Gmail through your browser, then hit the Search button and look for this string:

label:important in:inbox

I added is:unread to my own search, because I usually don't want to dig through older emails when I'm checking my inbox on the go. Update: An earlier version of this post had an incorrect label tag for the Gmail search. Apologies for any misfired bookmarks.

Once the search is complete, and you've got your messages pulled up, bookmark that search in your browser, and keep it handy on your smartphone home screen, if possible. You won't be able to "train" the Priority Inbox from this mobile view, but it does offer the same kind of important/not-so-important separation of Gmail's web interface that's really handy.